13-2 probability distributions and frequency tables

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13-2 Probability Distributions and Frequency Tables

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Page 1: 13-2 Probability Distributions and Frequency Tables

13-2 Probability

Distributions and Frequency Tables

Page 2: 13-2 Probability Distributions and Frequency Tables

Frequency Table: a data display that shows how often an item appears in a category

Relative Frequency: the ratio of the frequency of the category to the total frequency

Page 3: 13-2 Probability Distributions and Frequency Tables

Problem 1: Finding Relative Frequencies

The results of a survey of students’ music preferences are organized in the frequency table. What is the relative frequency of preference for rock music?Type of Music Preferred Frequency

Rock 10

Hip Hop 7

Country 8

Classical 5

Alternative 6

Other 4

Page 4: 13-2 Probability Distributions and Frequency Tables

What is the relative frequency of preference for• Classical?

• Country?

Type of Music Preferred Frequency

Rock 10

Hip Hop 7

Country 8

Classical 5

Alternative 6

Other 4

Page 5: 13-2 Probability Distributions and Frequency Tables

Problem 2: Calculating Probability by using Relative Frequencies

A student conducts a probability experiment by tossing 3 coins one after another. Using the results shown, what is the probability that exactly two heads will occur in the next three tosses?

Page 6: 13-2 Probability Distributions and Frequency Tables

A student conducts a probability experiment by spinning the spinner shown. Using the results in the frequency table, what is the probability of the spinner pointing at 4 on the next spin?

Page 7: 13-2 Probability Distributions and Frequency Tables

Probability Distribution: shows the probability of each possible outcome

Can be shown using a frequency table

Page 8: 13-2 Probability Distributions and Frequency Tables

Problem 3: Finding Probability Distribution